Spatial stability of incompressible attachment-line flow

Vassilios Theofilis, V. Theofilis

    Research output: Contribution to journalArticleAcademicpeer-review

    36 Citations (Scopus)
    64 Downloads (Pure)


    Linear stability analysis of incompressible attachment-line flow is presented within the spatial framework. The system of perturbation equations is solved using spectral collocation. This system has been solved in the past using the temporal approach and the current results are shown to be in excellent agreement with neutral temporal calculations. Results amenable to direct comparison with experiments are then presented for the case of zero suction. The global solution method utilized for solving the eigenproblem yields, aside from the well-understood primary mode, the full spectrum of least-damped waves. Of those, a new mode, well separated from the continuous spectrum is singled out and discussed. Further, relaxation of the condition of decaying perturbations in the far-field results in the appearance of sinusoidal modes akin to those found in the classical Orr-Sommerfeld problem. Finally, the continuous spectrum is demonstrated to be amenable to asymptotic analysis. Expressions are derived for the location, in parameter space, of the continuous spectrum, as well as for the limiting cases of practical interest. In the large Reynolds number limit the continuous spectrum is demonstrated to be identical to that of the Orr-Sommerfeld equation.
    Original languageEnglish
    Pages (from-to)159-171
    Number of pages13
    JournalTheoretical and computational fluid dynamics
    Issue number3
    Publication statusPublished - 1995


    • IR-92573
    • METIS-141088

    Fingerprint Dive into the research topics of 'Spatial stability of incompressible attachment-line flow'. Together they form a unique fingerprint.

    Cite this